| 书目名称 | Open Conformal Systems and Perturbations of Transfer Operators |
| 编辑 | Mark Pollicott,Mariusz Urbański |
| 视频video | |
| 概述 | Contains entirely original results which cannot be found elsewhere in the literature.Treats topics which are now the subject of rapidly developing extensive research.Serves both as a reference and as |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved...The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. ..Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviv |
| 出版日期 | Book 2017 |
| 关键词 | open dynamical systems; conformal dynamical systems; escape rates; survivor sets; thermodynamic formalis |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-72179-8 |
| isbn_softcover | 978-3-319-72178-1 |
| isbn_ebook | 978-3-319-72179-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 17:23:38
